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Finding the Fourth Proportional to 717.77, 1,077.10 and 410.21

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Solution

The fourth proportional to 717.77, 1,077.10 and 410.21 is: 615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.77 : 1,077.10 = 410.21 : x
  2. Step 2: Convert to fraction form
    717.77/1,077.10 = 410.21/x
  3. Step 3: Cross multiply
    717.77x = 1,077.10 × 410.21
  4. Step 4: Simplify right side
    717.77x = 441,838.86
  5. Step 5: Solve for x
    x = 441,838.86/717.77
  6. Step 6: Final answer
    x = 615.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.